MATHEMATICS HIGH SCHOOL

Tiffany sells two kinds of homemade tomato sauce. A quart of her Tuscan sauce requires 6 tomatoes and 1 cup of oil. A quart of her marinara sauce requires 5 tomatoes and 1.25 cups of oil. She makes $4 profit on each quart of her Tuscan sauce and $5 profit on each quart of her marinara sauce. She has 45 tomatoes and 10 cups of oil on hand. Tiffany wants to maximize her profits from selling the sauce.Let x represent the number of quarts of Tuscan sauce and y represent the number of quarts of marinara sauce Tiffany makes.

What are the constraints for the problem?

Answers

Answer 1
Answer:

Let x represent the number of quarts of Tuscan sauce and

y represent the number of quarts of marinara sauce Tiffany makes.

A quart of Tuscan sauce requires 6 tomatoes and 1 cup of oil

x quarts requires 6x tomatoes and 1x cups of oil

A quart of her marinara sauce requires 5 tomatoes and 1.25 cups of oil

y quarts requires 5y tomatoes and 1.25 y cups of oil

She has 45 tomatoes and 10 cups of oil on hand.

So the constraints are

6x + 5y <= 45

1x + 1.25y < = 10

x>=0 and y>=0
Answer 2
Answer: After drawing a digram of whatis required to make 1 quart of Tuscan and 1 quart of Marinara sauce, you can more clearly choose answer choice (B) 6x + 5y < (or equal to) 45, x + 5/4y < (or equal to) 10, x>(or equal to)0, y>(or equal to)0.

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Answers

Here, 3/8 * 3/8 = 9/64

In short, Your Answer would be: 9/64

Hope this helps!
7 1/8 is you answer.

Hope this helped!!

What's the product of these binomials (x-9) (x+2)

Answers

Answer:

(x-9)*(x+2)=x^2 - 7x -18

Step-by-step explanation:

Let's find the solution, but first we need to understand the following:

multiplication of binomials establish that:

(a-b)*(c+d)=(a*c) + (a*d) + ((-b)*(c)) + ((-b)*(d))

now, because your binomials are (x-9) and (x+2), using the above we obtain:

(x-9)*(x+2)=(x*x) + (x*2) + ((-9)*x) + ((-9)*2)

which can be simplified as:

(x-9)*(x+2)=x^2 + 2x - 9x -18

giving the solution:

(x-9)*(x+2)=x^2 - 7x -18

Answer:

x^(2)-7x-18

Step-by-step explanation:

For the function f(x) = 2(8)^x evaluate f(2)

Answers

Answer:

f(2)=128

Step-by-step explanation:

f(x) = 2(8)^x evaluate f(2)

f(2)= 2(8)^2

f(2)=2(64)

f(2)=128

What is the volume of a rectangular prism if it is 25 inches high and has an area of 750 square inches please explain

Answers

Please see the pic, I'd solved in it.
Volume formula of a prism is
V = Area of base × height of prism

The area is given    = 750 in²
and height of prism = 25 in

We plug the given in to find the volume

V = 750 × 25
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Enter an equation that can be used to find x. (Picture below)The equation ____ can be used to find x.

Answers

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What is the solution to the linear equation? 4b + 6 = 2 – b + 4

Answers

Answer:  The required solution is b = 0.

Step-by-step explanation:  We are given to solve the following linear equation :

4b+6=2-b+4~~~~~~~~~~~~~~~~~~~~~~~~(i)

We need to find the value of the unknown variable 'b' in the give equation.

From equation (i), we have

4b+6=2-b+4\n\n\Rightarrow 4b+6=6-b\n\n\Rightarrow 4b+b=6-6\n\n\Rightarrow 5b=0\n\n\Rightarrow b=(0)/(5)\n\n\Rightarrow b=0.

Thus, the required solution is b = 0.
b = 0

To solve make b the subject so:
4b + 6 = 2 - b + 4
5b + 6 = 6
5b = 0
5 = 0/5
= 0
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